Geodesic
Monotonicity of certain classes of functions related with Cusa — Huygens inequality
Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 3, pp. 331-337 Cet article a éte moissonné depuis la source Math-Net.Ru

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The theory of analytical inequalities is still a very popular field of investigation of many authors. In this note, we analyze the monotonicity of certain classes of functions related with the Cusa — Huygens inequality, and propose some open problems in this direction.
Keywords: Cusa — Huygens inequality, MTP inequalities. 
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     title = {Monotonicity of certain classes of functions related with {Cusa~{\textemdash}} {Huygens} inequality},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
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B. Chaouchi; V. E. Fedorov; M. Kostić. Monotonicity of certain classes of functions related with Cusa — Huygens inequality. Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 3, pp. 331-337. http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_3_a6/

[1] Mitrinović D.S., Analytic Inequalities, Springer-Verlag, Berlin, 1970 | Zbl

[2] Zhu L., “New Cusa — Huygens type inequalities”, AIMS Mathematics, 5:5 (2020), 5320–5331 | DOI

[3] Bagul Y.J., Chesneau C., Kostić M., “The Cusa — Huygens inequality revisited”, Novi Sad Journal of Mathematics, 50 (2020), 149–159 | DOI | Zbl

[4] Bagul Y.J., Chesneau C., Kostić M., “On the Cusa — Huygens inequality”, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 115:29 (2021) | Zbl

[5] Bagul Y.J., Banjac B., Chesneau C., Kostić M., Malešević B., “New refinements of Cusa — Huygens inequality”, Results in Mathematics, 76 (2021), 107 | DOI | Zbl

[6] Qi F., “A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers”, Journal of Computational and Applied Mathematics, 351 (2019), 1–5

[7] Malešević B., Makragić M., “Method for proving some inequalities on mixed trigonometric polynomial functions”, Journal of Mathematical Inequalities, 10 (2016), 849–876 | Zbl

[8] Banjac B., System for automatic proving of some classes of analytic inequalities, PhD Thesis, School of Electrical Engineering, Belgrade, 2019 (in Serbian) http://nardus.mpn.gov.rs/